When 5% Comm Chop (chop) injects a 2-hand extreme run and 7 tie pushes (9.52% Tie density) over 72 coups, eight-deck audit S213-0 maps Contra D'Alembert Press at 1.33u expected erosion (13.16% ruin) compared with 0.79u (5.84% ruin) for Flat 1-Unit Baseline on 60 units. Because every 8-deck coup is statistically independent under 5% Banker Commission (0.95:1) (1.0579% edge), progression rules alter drawdown speed and table-cap collisions without changing per-hand expectation.
Reference 8-deck shoe for Stress Cell S213 (Contra D'Alembert vs Flat Betting, Single-Alternating Chop under 5% Banker Commission). Big Road shows Banker (red) and Player (blue); derived roads track symmetry.
Column 2 has 2 beads. Column 1 has 2 beads. Same depth → red (=).
Common table reading watchout: Comparing the wrong columns. Compare Column 2, the one that just finished, with Column 1.
Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.
Column 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 2.
Stress cell S213 compares +1 on win / -1 on loss against 1-1-1-1 constant unit over 72 hands.
Probability of exhausting the 60-unit bankroll under a 50-unit house bet limit.
Theoretical erosion under 5% Banker Commission (0.95:1) (1.0579% house edge) across 72 coups.
Deepest unit trough triggered by a 2-hand run inside the chop shoe profile.
Reflects 9.52% tie frequency (7 pushes) and 0.64u in vigorish friction.
Benchmark S213-1 evaluates the table-capped profile between Contra D'Alembert and Flat Betting over 72 hands of 5% Comm Chop: with 60 units, a 50-unit cap, and 1.0579% house edge, ruin settles at 13.16% vs 5.84% while asymmetric drawdown-slope reaches -20u.
When 5% Comm Chop (chop) injects a 2-hand extreme run and 7 tie pushes (9.52% Tie density) over 72 coups, step-indexed audit S213-2 charts Contra D'Alembert Press at 1.33u expected erosion (13.16% ruin) compared with 0.79u (5.84% ruin) for Flat 1-Unit Baseline on 60 units.
| S213 cycle-span | Contra D'Alembert | Flat Betting |
|---|---|---|
| Contra D'Alembert / Flat Betting Rule | +1 on win / -1 on loss | 1-1-1-1 constant unit |
| 72-Hand Ruin (60u) | 13.16% | 5.84% |
| 5% Comm Chop Hold (1.0579%) | 1.33u | 0.79u |
| 2-Run Trough (50u Cap) | -20u | -11u |
Benchmark S213-3 inspects the non-stationary boundary between Contra D'Alembert and Flat Betting over 72 hands of 5% Comm Chop: with 60 units, a 50-unit cap, and 1.0579% house edge, ruin settles at 13.16% vs 5.84% while non-stationary footprint reaches -20u.
When 5% Comm Chop (chop) injects a 2-hand extreme run and 7 tie pushes (9.52% Tie density) over 72 coups, variance-scaled audit S213-4 documents Contra D'Alembert Press at 1.33u expected erosion (13.16% ruin) compared with 0.79u (5.84% ruin) for Flat 1-Unit Baseline on 60 units.
Enter any sequence to inspect the Big Road, Big Eye Boy, Small Road, Cockroach Pig, and next-hand previews.
About 64 minutes of lessons covering outcomes, the Bead Plate, Big Road columns, and dragon tails.
Train Third-Card Rule decisions, depth counting, lookback column references, and derived-road speed recognition.
Visual step-by-step breakdowns with closed captions, chapter markers, and full searchable transcripts.
Macau Cantonese, French, and mathematical table terms explained in plain English with road diagrams.
Direct answers to real student questions on dragon tails, tie handling, lookback rules, and table variants.
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Verify 8-deck combinatorial probabilities, Banker/Player house edge, and commission rules.
Inspect Big Road, Bead Plate, Big Eye Boy, Small Road, and Cockroach Pig marks interactively.
Step-by-step lookback rules for Big Eye Boy (1), Small Road (2), and Cockroach Pig (3).
Definitions for progression ladders, absorbing barriers, commission formats, and shoe terms.
Plain-English answers on independent trials, progression variance, and scoreboard reading.